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On the optimality equation for zero-sum ergodic stochastic games

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Abstract.

We consider zero-sum stochastic games with Borel state spaces satisfying a generalized geometric ergodicity condition. We prove under fairly general assumptions that the optimality equation has a solution which is unique up to an additive constant.

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Authors and Affiliations

  1. Institute of Mathematics, Wrocław University of Technology, Wyspiańskiego 27, 50-370 Wrocław, Poland (e-mail: ajaskiew@im.pwr.wroc.pl), , , , , , PL

    Anna Jaśkiewicz

  2. Institute of Mathematics, Zielona Góra University, Podgórna 50, 65-246 Zielona Góra, Poland (e-mail: nowak@im.pwr.wroc.pl), , , , , , PL

    Andrzej S. Nowak

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  1. Anna Jaśkiewicz
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  2. Andrzej S. Nowak
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Manuscript received: October 2000/Final version received: March 2001

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Jaśkiewicz, A., Nowak, A. On the optimality equation for zero-sum ergodic stochastic games. Mathematical Methods of OR 54, 291–301 (2001). https://doi.org/10.1007/s001860100144

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  • DOI: https://doi.org/10.1007/s001860100144

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